a) (2x + 1)2 - 49x2 + 56x - 16
b) xm+4 - xm+3 - x - 1
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a: \(\Leftrightarrow x-1\in\left\{-1;1;2;3;6\right\}\)
hay \(x\in\left\{0;2;3;4;7\right\}\)
b: \(\Leftrightarrow x+1\in\left\{1;2;5;10\right\}\)
hay \(x\in\left\{0;1;4;9\right\}\)
c: x=UCLN(64;48;88)=8
g: \(x\in BC\left(12;18\right)\)
mà x<=144
nên \(x\in\left\{0;36;72;108;144\right\}\)
\(x^{m+4}-x^{m+3}-x+1=x^{m+3}\left(x-1\right)-\left(x-1\right)=\left(x-1\right)\left(x^{m+3}-1\right)\)
Ta có: \(x^{m+4}-x^{m+3}-x+1\)
\(=x^{m+3}\left(x-1\right)-\left(x-1\right)\)
\(=\left(x-1\right)\left(x^{m+3}-1\right)\)
x2 - 25 + y2 + 2xy
x2 - 25 + y2 + 2xy
Chưa trả lờiNhật Linh Đặng
(2x + 1)2 - 49x2 + 56x - 1
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
x2 - 25 + y2 + 2xy
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
(2x + 1)2 - 49x2 + 56x -
x2 - 25 + y2 + 2xy
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
6
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
(2x + 1)2 - 49x2 + 56x - 16
xm + 4 - xm + 3 - x - 1
a3 + b3 + c3 - 3abc
1)
`7x^2 -49x=0`
`<=>x(7x-49)=0`
\(< =>\left[{}\begin{matrix}x=0\\7x-49=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)
2)
`8x^2 -16x=0`
`<=>x(8x-16)=0`
\(< =>\left[{}\begin{matrix}x=0\\8x-16=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
3)
`2x^3 +40x=0`
`<=>x(2x^2 +40)=0`
`<=>x=0` hoặc`2x^2 +40=0`
`<=>x=0` hoặc `2x^2 =-40` (vô lí vì `2x^2` luôn lớn hơn hoặc bằng 0)
`<=>x=0`
4)
`-x^3 +16x=0`
`<=>x^3 -16x=0`
`<=>x(x^2 -16)=0`
\(< =>\left[{}\begin{matrix}x=0\\x^2-16=0\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=0\\x^2=16\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x=0\\x=4\\x=-4\end{matrix}\right.\)
a,x(x-2)+x-2=0
⇔ (x-2)(x+1)=0
⇔ x=2;x=-1
b,x3+x2+x+1=0
⇔ x2(x+1)+x+1=0
⇔ (x+1)(x2+1)=0
⇔ x=-1
a) \(\left(2x+1\right)^2-49x^2+56x-16\)
\(=4x^2+4x+1-49x^2+56x-16\)
\(=-45x^2+60x-15\)
\(=-45x^2+45x+15x-15\)
\(=-45x\left(x-1\right)+15\left(x-1\right)\)
\(=\left(-45x+15\right)\left(x-1\right)\)
\(=-15\left(3x-1\right)\left(x-1\right).\)
câu b sai đề